text stringlengths 1 1.11k | source dict |
|---|---|
solutions, analytical-chemistry, concentration, terminology
So in this case, mix 7 parts of 35% with 13 parts of 15% solution to get the desired 22%.
Source: https://de.wikipedia.org/wiki/Mischungskreuz
My questions are: Is this method taught outside of Germany, and is there a non-German (maybe English?) name for it? ... | {
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"tags": "solutions, analytical-chemistry, concentration, terminology",
"url": null
} |
c#, entity-framework, generics, extension-methods
In this more generic solution that allows to reuse it I wanted to implement the using statement instead of manually disposing and recreating the context.
It is an extension that you can use on a collection of entities. It requires the size of the batch and a factory me... | {
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"tags": "c#, entity-framework, generics, extension-methods",
"url": null
} |
database-theory, databases, functional-dependencies
I am a little confused with the second part of the question and don't understand what exactly they mean by "organize them accordingly to the LHS of the FD's"
My understanding is, Apart from the given FD's, we have A->C(on account of transitivity) and the trivial FD'... | {
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"tags": "database-theory, databases, functional-dependencies",
"url": null
} |
audio, dsp-core
Title: Stereo Widening I recently found this implementation for widening a stereo signal by Michael Gruhn.
http://www.musicdsp.org/showArchiveComment.php?ArchiveID=256
I've implemented this myself as follows:
void Voice::WidenTheStereoImage( double *a_dInputBufferLeft, double *a_dInputBufferRight, doub... | {
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"tags": "audio, dsp-core",
"url": null
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c++, game, c++11, sdl
Title: Pong game using SDL 2.0 I've just finished writing my first game: a clone of the classic Pong game for Linux and Mac only. You will need SDL 2.0, SDL_ttf 2.0 and SDL_Mixer 2.0 to compile it. The complete project can be found here.
My experience with C++ and game development in general is f... | {
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"tags": "c++, game, c++11, sdl",
"url": null
} |
cc.complexity-theory, ds.algorithms, linear-algebra, polynomial-time, boolean-matrix
We can compute the dot product of every pair of vectors in $S$ by computing $A \cdot B$ using algorithms for fast integer matrix multiplication.
When $d \leq n$, one approach is to convert the rectangular matrix multiplication into $(... | {
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"tags": "cc.complexity-theory, ds.algorithms, linear-algebra, polynomial-time, boolean-matr... |
general-relativity, differential-geometry
$\Gamma^i=\gamma^a E_a^i$
where $\gamma^a$ are the usual flat space gamma matrices and $E_a^i$ are the tetrad components, i.e.
$E_a=E_a^i\partial_i$
where $E_a$ is the tetrad basis for the tangent space.
2) The differential geometric relations between the vielbein formalism a... | {
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"tags": "general-relativity, differential-geometry",
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} |
java, time-limit-exceeded, breadth-first-search, jdbc, sliding-tile-puzzle
private static void move(int direction, State current) {
State next = current.move(direction);
if (!SET.contains(next)) {
SET.add(next);
QUEUE.add(next);
}
}
public static class State {
... | {
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... |
where letters or items have to stay together. or 2 8P8 It is a permutation of identical objects as above and the number of permutations is \[\frac{1000!}{(40! Permutations with Restrictions Eg. 10. The class teacher wants to select a student for monitor of … 5! If you want to crack this concept of Permutation and Combi... | {
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"lm_q2_score": 0.8519528019683106,
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"openwebmath_score": 0.34036198258399963,
"tags": nul... |
game, playing-cards, go
type Card int
func (c Card) String() string {
return [...]string{"2", "3", "4", "5", "6", "7", "8", "9", "10", "J", "Q", "K", "A"}[int(c)]
}
func parseCard(s string) (Card, error) {
for i := 0; i < 13; i++ {
card := Card(i)
if card.String() == s {
return ca... | {
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} |
First of all, the minimal polynomial $$m(\lambda)$$ of $$A$$ is the same as its characteristic polynomial $$f(\lambda)$$, namely $$m(\lambda) = f(\lambda) = \lambda^n + a_{n-1}\lambda^{n-1} + \cdots a_0$$. Thus, plugging in $$A$$, we see that all $$A^{k}$$ with $$k \geq n$$ could be expressed by $$I, A, A^2, \cdots, A^... | {
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"openwebmath_score": 0.9918481707572937,
"tag... |
c++, algorithm, interview-questions, clustering, natural-language-processing
My solution in C++ is below. I think I could do better in my attempt. What are the areas that I should prepare & learn? I failed to come up with a better data structure under the exam condition.
During the test, I briefly tried stack but late... | {
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... |
python, python-2.x
# template for new generated XML files
# dev have debugInfoUrl=%URL%
if isdev(build_type):
mode_xml_in = os.path.join(rds_basedir, 'conf', 'build', 'templates', 'template_dev.dll.xml')
else:
mode_xml_in = os.path.join(rds_basedir, '... | {
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Hints:
$$Pr(A\cap B) = Pr(A)Pr(B\mid A)$$
$$Pr(B) = Pr(A_1\cap B)+Pr(A_2\cap B)+\dots+Pr(A_n\cap B)$$ where $$A_1,\dots,A_n$$ form a partition of the sample space
Let $$B$$ be the event the sum is $$14$$.
Let $$A_1$$ be the event the first die rolls a number $$1-10$$. Let $$A_2$$ be the event the first die rolls a ... | {
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"openwebmath_score": 0.8888765573501587,
"tag... |
###### Installation
To install the latest version of Homebrew, simply visit their website and follow the instructions. Each new package Homebrew installs is built into an intermediate place called the Cellar (usually /usr/local/Cellar) and then the packages are symlinked into /usr/local (default).
###### Key commands... | {
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"lm_q1_score": 0.9559813538993888,
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"tags": nu... |
c++, graph
public:
void add_vertex(const Info& info){
vertices_.push_back({info, false});
}
void add_vertices(const std::vector<Info>& info_vector){
for( auto info : info_vector ){
vertices_.push_back({info, false});
... | {
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ros, roslaunch, rosparam, startup
If you have any more questions, I'd refer you to the roslaunch/XML and roslaunch wiki pages.
Originally posted by gvdhoorn with karma: 86574 on 2014-12-16
This answer was ACCEPTED on the original site
Post score: 6
Original comments
Comment by Walt Johnson on 2021-02-23:
Can we assu... | {
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ros, message-filters, publisher, ros-indigo
ros::Publisher sensor_pub1 = nh.advertise<geometry_msgs::WrenchStamped>("/sensor_ati", 1000);
ros::Publisher sensor_pub2 = nh.advertise<geometry_msgs::PoseArray>("/sensor_ndi", 1000);
[..]
}
The issue here is that you first declare two variables in the global scope, bu... | {
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"tags": "ros, message-filters, publisher, ros-indigo",
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homework-and-exercises, newtonian-mechanics, momentum, conservation-laws, differential-equations
Any help or hints will be appreciated The differential equation you have is a second-order, nonlinear equation, so it will be difficult to find its solutions directly. You can simplify it, however, by following the hint a... | {
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c#, .net, hash-map
public class SymmetricTupleComparerComplex<T> : SymmetricTupleComparerBase<T>
{
public override int GetHashCode(Tuple<T, T> obj)
{
if (obj == null)
return 0;
return HashHelper.SymmetricCombineHashComplex(comparer.GetHashCode(obj.Item1), comparer.GetHashCode(obj.It... | {
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microbiology
Additional:
count spores using a Neubauer improved counting chamber and make aliquots
with a defined number of spores per aliquot (e.g. 100 Million spores per 500 μl)
(Note: always use fresh DSM since the FeSO4 is rusting when it is in dilution)
May I make special mention of the Bacillus subtilis Manual... | {
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(A+B).transpose() == A.transpose() + B.transpose()
(2*C).conjugate() == 2*C.conjugate()
a = QQbar(3 + 4*I)
acon = a.conjugate()
(a*C).conjugate_transpose() == acon*C.conjugate_transpose()
The opposite is true — you can use theorems to convert, or express, Sage code into alternative, but mathematically equivalent fo... | {
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c++, object-oriented, strings, reinventing-the-wheel
A couple departing notes on optimization
SSO:
The first obvious optimization here would be to add Small String Optimization (SSO). The idea behind it is that a lot of times the strings are small. So we might benefit from having a local inline char buffer within the ... | {
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ros, navigation, ros2, git, gmapping
Title: apt-get vs git clone
Hello everyone
Im new to ROS platform and im about to build my first real world robot using ROS. M question might sound bad or something but i have to ask since im only a beginner.
which is the best practice for installing ROS packages, apt-get or git c... | {
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statistical tool that is percentage. Can simply be considered to be a measure of ‘ linear dependence ’ between the random... Covariance, it is important to do some hands-on activity covariance matrix is called white data figure 3 simply. Set of real-valued random variables, not necessarily inde-pendent considered to be... | {
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"openwebmath_score": 0.4935759902000427,
"ta... |
ros, navigation, robot-localization, frame-id, transform
It's always very helpful to post launch files AND sample input messages (preferably collected when your robot is moving) for questions about r_l. Without them, I can't really comment with any certainty about what your optimal setup is. This leads to two question... | {
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ros, catkin, overlay, multiple
Original comments
Comment by joq on 2013-06-10:
Why not just order the overlays hierarchically: C overlays B which overlays A?
Comment by Johannes Meyer on 2013-06-10:
B does not depend from A in my case. Of course it is possible to overlay them linearly, but I did not get the point why ... | {
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filters, filter-design, finite-impulse-response, software-implementation, parks-mclellan
P.S. I am aware that I can design filters differently using windowing or something else... feel free to mention those in the comments. But the point of this question is not to ask "what are other filter design techniques?" the poi... | {
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"tags": "filters, filter-design, finite-impulse-response, software-implementation, parks-mclella... |
c++, vectors, numerical-methods, c++20
Often times the best option is to take the const& and be careful about how you use it, but in this case I think it's easy enough to compute the full result in a function, not expose a class that can hold a reference to a ctor argument, and make it impossible to end up with a dang... | {
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##### Preconditioners
###### Definition
Let A be a \mathbb{R}^{n\times n} matrix, x and b be \mathbb{R}^n vectors, we wish to solve A x = b.
Definition: A preconditioner \mathcal{P} is a method for constructing a matrix (just a linear function, not assembled!) P^{-1} = \mathcal{P}(A,A_p) using a matrix A and extra in... | {
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python, pcl, ros-kinetic, pointcloud
It is easy to understand why x, y and z require 4 bytes each (float 32)
But why does rgb come at 16 and not 12? following the logic, z also needs 4 bytes, and the next free spot is at an offset of 12 and not 16.
Also why does rgb need 16 bytes? (point_step is 32 so one point requir... | {
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php, game, random, sudoku
// Set cell number to a random number from the possible
$matrix[$x][$y] = $matrix[$x][$y][$keys[mt_rand(0, count($keys) - 1)]];
We can make this code even simpler though:
$keys = array_keys($matrix[$x][$y]);
// if there are no keys this means there are no possible
... | {
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Thus canceling $$\,ab\,$$ yields $$\, 1 = \gcd\left(\frac{m}b,\frac{m}a\right).$$
• Very belated, but thank you for this answer : it is illustrative. I think by lattice here, you refer to a poset with glb and lub existing for ever subposet, right? In that case, probably De Morgan holds. For positive divisors of a natu... | {
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"tags... |
to solve 2D Poisson equation in reference is generalized to 3D. LaPlace's and Poisson's Equations. Both codes, nextnano³ and Greg Snider's "1D Poisson" lead to the same results. Use MathJax to format equations. Solve Poisson equation on arbitrary 2D domain with RHS f and Dirichlet boundary conditions using the finite e... | {
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"lm_q1_score": 0.9850429156022934,
"lm_q1q2_score": 0.816540306848927,
"lm_q2_score": 0.8289388146603365,
"openwebmath_perplexity": 582.1518133241208,
"openwebmath_score": 0.8025301098823547,
"tags": nu... |
r
NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
NA, NA, NA, NA, NA, NA), FT26 = c(NA, NA, NA, NA, NA, NA, NA,
NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,
NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA,... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "r",
"url": null
} |
homework-and-exercises, optics, refraction, variational-principle, variational-calculus
where $ds$ represents the length element along the light ray path. The same can be written in terms of your 2D co-ordinates, in order to segregate out the $x$ and $y$ dependent terms. More generally, substituting for the spatial de... | {
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"tags": "homework-and-exercises, optics, refraction, variational-principle, variational-cal... |
python, logistic-regression, gradient-descent
A: Try to start from the math behind the model. The logistic regression is a relatively simple one. Find the two equations you need and stick to them, replicate them letter by letter.
B: Vectorize. It will save you a lot of unnecessary steps and computations, if you step b... | {
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"tags": "python, logistic-regression, gradient-descent",
"url": null
} |
2. $$ZFC \vdash Con(ZFC) \Rightarrow \neg(T_n\text{ halts})$$
In this case it must be false that $$T_n$$ halts.
3. $$ZFC \vdash Con(ZFC) \Rightarrow{}$$ "$$T_n$$ halts" is independent of ZFC.
In this case there must be a model of ZFC in which $$T_n$$ does not halt and so has an infinitely long computation. However, ... | {
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"lm_q2_score": 0.8175744695262775,
"openwebmath_perplexity": 275.09319422977893,
"openwebmath_score": 0.8223354816436768,
"ta... |
python, python-3.x, interpreter
class OperandsError(HRMException):
def __init__(self, operator):
super().__init__(
"You can't {0} with mixed operands! "
"{0}'ing between one letter and one number is invalid. "
"Only nice respectable pairs of two letters or two numbers ar... | {
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"id": 20645,
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"openwebmath_score": null,
"tags": "python, python-3.x, interpreter",
"url": null
} |
computer, electrical-engineering, engineering-history
An integrated circuit can contain incredible amounts of transistors, and it is this complexity and compactness that make it so useful. Manufacturing was also much easier and quicker. Integrated circuits started a second computing revolution, which laid the groundwo... | {
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"tags": "computer, electrical-engineering, engineering-history",
"url": null
} |
Hint: If $\mathbf{v}$ is a unit-norm eigen vector of a matrix $\mathbf{A}$ corresponding to the eigen value of $\lambda$ then $-\mathbf{v}$ is also a unit-norm eigenvector of $\mathbf{A}$. In particular, $$\mathbf{A}\mathbf{v}=\lambda \mathbf{v} \implies \mathbf{A}(-\mathbf{v})=\lambda(-\mathbf{v}).$$
• What happens if... | {
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"openwebmath_score": 0.6695532202720642,
"tag... |
please read carefully what other students posted, you are on the wrong pass from the beginning.
Title: Re: Web Bonus Problem –– Week 1
Post by: Lingyun Xu on January 06, 2018, 04:39:26 PM
Based on Tristan's work,
\begin{eqnarray}
u(x,y)&=&\phi(y)x+\psi(y)\\
u_{yy}&=&0
\end{eqnarray}
Consider derive $u(x,y)$ with respec... | {
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"openwebmath_score": 0.853485107421875,
"tags": nul... |
Note that when $$x_k = x^k$$ for $$0\le k \le n-1$$ we have a Vandermonde determinant, which equals $$V(x, \mu_2, \ldots, \mu_{n}) = V( \mu_2, \ldots, \mu_{n}) \cdot \prod_{i=2}^{n}( \mu_i - x)= \\ =(-1)^{n-1} V( \mu_2, \ldots, \mu_{n})\cdot (x-\mu_2)\cdot (x-\mu_{n}) = (-1)^{n-1} V( \mu_2, \ldots, \mu_{n})\cdot ( x^{n... | {
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"id": null,
"lm_label": "1. YES\n2. YES",
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"lm_q2_score": 0.8128673133042217,
"openwebmath_perplexity": 318.6225298487406,
"openwebmath_score": 0.9998005032539368,
"tag... |
at +180°. Displays Phase (no magnitude) Y-axis: Phase (degrees) The trace 'wraps' every 180 degrees for easier scaling. ) Since this plot type is designed specifically for asymptotes, you need to write the equations of the asymptotes in the “normal” way, which means x = c, y = c, and y = mx + b. First save the files ve... | {
"domain": "ammastyle.it",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.972414724168629,
"lm_q1q2_score": 0.8060723026465414,
"lm_q2_score": 0.8289388083214156,
"openwebmath_perplexity": 847.6896301243131,
"openwebmath_score": 0.5837233662605286,
"tags"... |
javascript, performance, typescript
Return early to avoid indentation hell - reading lots of {} blocks can make code more confusing to read than it needs to be. In the case of 00:00:00, consider running the one line that's needed and then returning, rather than having a large if/else.
The branches of currHours > ore a... | {
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"tags": "javascript, performance, typescript",
"url": null
} |
c, fibonacci-sequence
* @file fibonacci.cpp
*
* @brief Prints out a partial Fibonacci sequence.
*/
#include <stdio.h>
// Function prototype for fibonacci()
unsigned int Fibonacci(unsigned int);
int main(int argc, char** argv)
{
printf("Fibonacci Sequence:\n");
for (unsigned int n = 0; n < 10; ++n)
{
... | {
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"tags": "c, fibonacci-sequence",
"url": null
} |
• The answer doesn't match, do you have any alternate solution it? – Jasmine Dec 3 '17 at 13:07
• @Jasmine: The answer doesn't match what? – Blue Dec 3 '17 at 14:19
• @Blue The Given solution, possibly. This was probably a homework question, and OP couldn't find the answer. Now that she has got the answer, it turns out... | {
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"openwebmath_score": 0.968464195728302,
"tags... |
estimation, neutrinos, biophysics, perception, cosmic-rays
So unless your head is 100 light years wide, there is little chance of any individual neutrino interacting with it.
This is only one part of the calculation though - we need to know how many neutrinos are passing through your head per second. The neutrino flux... | {
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"tags": "estimation, neutrinos, biophysics, perception, cosmic-rays",
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} |
• Thanks for the detailed response! I'm trying to get into more formal proofs and I wanted to see how this proposition was wrong, the "almost right but not quite" idea makes me feel like I didn't get goof it entirely up - I see what I did. Thanks! – Florasce Oct 19 '18 at 16:19
The reason why you can't do this is that... | {
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"lm_q2_score": 0.8479677506936878,
"openwebmath_perplexity": 254.4623763865804,
"openwebmath_score": 0.9080274105072021,
"tag... |
electricity
$J_{RD} = A_0 T^2 \exp(-\frac{\phi}{k_B T}) = 16.457747\, \frac{\mathrm{A}}{\mathrm{m^2}}$ | {
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"tags": "electricity",
"url": null
} |
statistical-mechanics, superconductivity, phase-transition, complex-numbers, analyticity
Title: Non-analyticity of the modulus function I'm studying the Ginzburg-Landau theory of superconductors, and I have read that the free energy can not depend on odd powers of the modulus of the order parameter $\psi$ because $| \... | {
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"tags": "statistical-mechanics, superconductivity, phase-transition, complex-numbers, analy... |
filters, processing-gain
\\
\end{align*}$$
Since there is no information on the values of $K$ and $L$, there is not really any more simplification we can do in the Z domain.
Taking the inverse Z-Tranform:
$$\begin{align*}y[n] &= A\left[e^{-\frac{nT}{\tau}}u[n]+e^{-\frac{(n-1)T}{\tau}}u[n-1]+\dots+e^{-\frac{(n-K+1)T}{\... | {
"domain": "dsp.stackexchange",
"id": 6910,
"lm_label": null,
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"openwebmath_score": null,
"tags": "filters, processing-gain",
"url": null
} |
$\frac11,\frac11,\frac12,\frac11,\frac12,\frac13,\frac11,\frac12,\frac13,\frac14,\cdots$
Suppose each row of the infinite matrix below converges to a different real number
\begin{bmatrix} a_{11} & a_{12} & a_{13} & a_{14} & \dots \\ a_{21} & a_{22} & a_{23} & a_{24} & \dots \\ a_{31} & a_{32} & a_{33} & a_{34} & \dot... | {
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"lm_q2_score": 0.8705972801594706,
"openwebmath_perplexity": 112.41233472694286,
"openwebmath_score": 0.9760191440582275,
"tags... |
slam, kinematics, localization, dynamics
Angular velocity from a motion model
The angular velocity describes the rate of change of frames, and not of points.
Thus, asking for the angular velocity from two points is an ill-posed question.
Perhaps what you meant to be asking is the angular velocity of a rigid body, whic... | {
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"tags": "slam, kinematics, localization, dynamics",
"url": null
} |
gravity, special-relativity, temperature, electrostatics, equivalence-principle
Title: What is the effect of temperature on electrostatic-gravitational balance? We have two identical massive metal spheres at the same temperature at rest in free space. Both have an identical charge and the Coulomb force [plus the blac... | {
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"tags": "gravity, special-relativity, temperature, electrostatics, equivalence-principle",
... |
python, algorithm, interview-questions
for val in nums[i:len(nums)]:
# print(f'accum = {accum}')
result.append(val)
# print(f'accum = {accum} + {val}')
accum += val
if accum == k:
print(f'{result} = {k}')
return 0
... | {
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"openwebmath_score": null,
"tags": "python, algorithm, interview-questions",
"url": null
} |
perl
or
~/bin/script_name.pl < file_name
or
some_other_command | ~/bin/script_name.pl
And if you want to know how it works later, you can simply view or edit the file. If you forget how something works and have to research it, add a comment for the next time. | {
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"tags": "perl",
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} |
c
/*get number of voters*/
do
{
int flag = 0;
printf("Number of voters: ");
fgets(buffer, sizeof(buffer), stdin);
sscanf(buffer, "%d", &voter_count);
if (voter_count < 2)
{
printf("Enter a number that's larger than 2.\n");
continue;
... | {
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"openwebmath_score": null,
"tags": "c",
"url": null
} |
gazebo-11, ubuntu-20.04
Title: gzserver: error while loading shared libraries: libdart-collision-bullet.so.6: cannot open shared object file: No such file or directory
I don't even know how did this happen. One day, I just open the laptop and start to work. Suddenly, it's not working anymore.
I can't even run turtleb... | {
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"tags": "gazebo-11, ubuntu-20.04",
"url": null
} |
The true value of the NASDAQ along with 9 GBM simulations using the drift and volatility parameters above are shown.
Derivation
The MLE are obtained by maximizing the log-likelihood
$\ell=\sum_{n=1}^{N}\log f_{n}(\Delta X_{n})$
where $$f_{n}$$ is the density of $$\Delta X_{n}$$. In particular,
$\log f_{n}(\Delta X... | {
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"lm_q2_score": 0.815232489352,
"openwebmath_perplexity": 1047.490776700234,
"openwebmath_score": 0.8416135907173157,
"tags": null,
... |
electrical-engineering, pwm
The problem with force gauges most often is that they move only for some micrometers. If you implement a SEE you will combine force and position, making it much easier to use your button (better control for us stupid humans). Furthermore, you have a linear relationship between force and pos... | {
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"tags": "electrical-engineering, pwm",
"url": null
} |
“an” identity matrix. Less frequently, some mathematics books use U or E to represent the identity matrix, meaning "unit matrix"[3] and the German word Einheitsmatrix respectively. Identity matrix is sometimes also known as unit matrix. This is also true in matrices. In linear algebra, a complex square matrix U is unit... | {
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"lm_q1_score": 0.9626731126558706,
"lm_q1q2_score": 0.8257502880675267,
"lm_q2_score": 0.8577681013541613,
"openwebmath_perplexity": 444.51992264379317,
"openwebmath_score": 0.8063680529594421,
"ta... |
compilers, lambda-calculus, continuations
What does the author mean by this last sentence?
(My guess is that he means ANF beta reduction can introduce new, unbound variables into the reduced term. If that is the case, I am having a hard time visualizing when this would occur and would appreciate outside confirmation t... | {
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"tags": "compilers, lambda-calculus, continuations",
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# Inequality $(1+\frac1k)^k \leq 3$
How can I elegantly show that: $(1 + \frac{1}{k})^k \leq 3$ For instance I could use the fact that this is an increasing function and then take $\lim_{ k\to \infty}$ and say that it equals $e$ and therefore is always less than $3$
1. Is this sufficient?
2. What is a better wording ... | {
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"lm_q2_score": 0.863391617003942,
"openwebmath_perplexity": 425.30011106427884,
"openwebmath_score": 0.8475660681724548,
"tag... |
c#, object-oriented, validation, generics, reflection
Code comprehension
Using clear, meaningful variable names will greatly improve the readability of your code - and that makes it easier to work with. Some names, such as d, p, p_obj, p_hHandlers and Del are very cryptic - fieldValidationTypes, validationTarget, pro... | {
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## How to compare vectors
Absolute difference is the devil. You should never compare vectors in absolute difference (this is Lecture 1 of any numerical methods course). In this case, the problem is that gradients depend strongly on the scale of $f$. If $f$ takes tiny values then it's easy for differences to be lower t... | {
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"lm_q1_score": 0.9711290897113961,
"lm_q1q2_score": 0.8113623688451618,
"lm_q2_score": 0.8354835391516133,
"openwebmath_perplexity": 1103.170171736285,
"openwebmath_score": 0.6590133905410767,
"tags": null... |
reference-request, ho.history-overview, string-matching, edit-distance
Title: Using compression to improve edit distance computation I am doing a seminar on a paper titled "Unified Compression-Based Acceleration
of Edit-Distance Computation" that uses straight-line programs to improve edit distance computation. It is ... | {
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"tags": "reference-request, ho.history-overview, string-matching, edit-distance",
"url": n... |
fft, fourier-transform
If I had to do this, I'd atually do the same on your microcontroller (by the way, 8192-FFT sounds gigantic for a Cortex-M4, but you know your device better than I do), but with different architecture. Do a rough calculation: If you keep the sampling rate low, how many FIR filters of the differen... | {
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"tags": "fft, fourier-transform",
"url": null
} |
performance, algorithm, c, mathematics
// sec = diff / cps;
// printf("Step 5: Time taken %f seconds %f milliseconds\n", sec, msec);
break;
case 6:
// start = clock();
step = step_six( idxs );
// diff = clock() - start;
... | {
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"openwebmath_score": null,
"tags": "performance, algorithm, c, mathematics",
"url": null
} |
python, datetime, pandas
Title: Coalesce consecutive failures in a DataFrame of hourly sensor readings I have a PANDAS DataFrame that contains sensor data that is recorded every hour (sample included below). It is important to note that every hour is not necessarily in the dataframe, as sometimes the sensor is down a... | {
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} |
ros, microcontroller, navigation, ros2, planner
Originally posted by stevemacenski with karma: 8272 on 2023-05-18
This answer was ACCEPTED on the original site
Post score: 2
Original comments
Comment by Pepis on 2023-05-19:
Thanks for your answer steve!
its going to be a few days of tuning and building that intuitio... | {
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"tags": "ros, microcontroller, navigation, ros2, planner",
"url": null
} |
But the other direction seems more tricky...
If $\limsup_{n \to \infty} s_n = \liminf_{n \to \infty} s_n = s$, then every convergent subsequence converges to the same point $s$. Also, there can be no subsequences which diverge to infinity (otherwise $\limsup_{n \to \infty} s_n$ would be $+\infty$, or $\liminf_{n \to \... | {
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"tags... |
c++, game
auto damage_dist = std::normal_distribution{nomimal_damage, stddev};
auto const damage_d = damage_dist(random_engine());
auto const damage = static_cast<int>(damage_d); // because you probably want the result as an int
Normal distributions make a game much more interesting. In the example above, I set the ... | {
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"tags": "c++, game",
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} |
It's true that the first problem had the added complication of the "10'', and we certainly need to be able to deal with such minor variations, but that turns out to be quite simple. The lesson then is this: whenever we can solve a problem by taking the limit of a sum of a certain form, we can instead of computing the (... | {
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"lm_q1q2_score": 0.8087295870261323,
"lm_q2_score": 0.8175744739711883,
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"openwebmath_score": 0.9232532978057861,
"tags"... |
newtonian-mechanics, reference-frames, applied-physics
So what's the reason for this result. May be it's biological, which I don't think and I considered this situation from physics's viewpoint, with conditions idealized. So according to me the bee should be thrown back to the end of car, because there is no considera... | {
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"tags": "newtonian-mechanics, reference-frames, applied-physics",
"url": null
} |
machine-learning, lg.learning, pac-learning
The punchline, basically, is that SQ lower bounds still hold in this non-adversarial noise setting. Actually the SQ lower bounds are even harsher because they work for sample sizes $t=1$, where the algorithm sees the result of its function evaluation on every random sample ... | {
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"tags": "machine-learning, lg.learning, pac-learning",
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} |
quantum-state, mathematics, textbook-and-exercises
Title: Can vectorization lead to mixed states? Given an operator $L = \sum_{ij}L_{ij}\vert i\rangle\langle j\vert$, in some basis, the definition of vectorization is $vec(L) = \sum_{ij}L_{ij}\vert i\rangle\vert j\rangle$. The operation is invertible and heavily used i... | {
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"tags": "quantum-state, mathematics, textbook-and-exercises",
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} |
bundle with fibre $G / N$, so it's enough to show that $G/N$ has the rational homology of a point. </p> <p>For instance, if $G = SU(2)$, $N = \mathbb{Z} / 2 \ltimes T$, and $T = S^1$. Then $G/T = \mathbb{C} P^1$, and the action of $\mathbb{Z} / 2$ is antipodal, giving $G / N = \mathbb{R} P^2$, which is indeed rationall... | {
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"lm_q2_score": 0.8311430541321951,
"openwebmath_perplexity": 330.0774785984216,
"openwebmath_score": 0.9727056622505188,
"tags... |
had arc length ... 5 This is just an NLP (Non-Linear Programming) model. You can rewrite it as: \begin{align}\min \>& Z \\ & \sum_i w_i = 1 \\ & \sum_i f_i(w_i\cdot Z)\ge k\cdot Z \\ & w_i \in [0,1] \end{align} Getting rid of a division is always a good idea. If we can assumeZ\gt0$, then a slightly different formulatio... | {
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"lm_q2_score": 0.8499711718571775,
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"openwebmath_score": 0.9629617929458618,
"tag... |
in 1905. Random walk is used in many fields including physics and economics. Play around with the random walk applet at the following URL: The standard deviation is deÞ ned as the RMS deviation from the mean . For notational is used for a random walk simulation. Our model provides anomalous uctuations of time-averaged ... | {
"domain": "com.au",
"id": null,
"lm_label": "1. YES\n2. YES\n\n",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9833429580381723,
"lm_q1q2_score": 0.8434802256717661,
"lm_q2_score": 0.8577681049901037,
"openwebmath_perplexity": 716.9879891191669,
"openwebmath_score": 0.7770645022392273,
"tags": nul... |
newtonian-mechanics, lagrangian-formalism, computational-physics, variational-principle, action
x_k\big) + \nabla_{x_{k}} L_h \big(x_{k},\, x_{k+1}\big) = 0
\,\,\, \text{ for } \,\,\, k=1,...,N$$
$$x_0 = \text{ fixed initial point, } \,\, x_{N+1} = \text{ fixed finial point. }$$
To avoid confusion, I am going to denot... | {
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"tags": "newtonian-mechanics, lagrangian-formalism, computational-physics, variational-prin... |
Let $B$ denote the $m\times n$ matrix formed from the first $n$ columns of $N$ and let $J$ denote the $m\times m$ matrix formed from the last $m$ columns of $N\text{.}$ Suppose that $B$ has $r$ nonzero rows. Further partition $N$ by letting $C$ denote the $r\times n$ matrix formed from all of the nonzero rows of $B\tex... | {
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"lm_q2_score": 0.8221891370573388,
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"openwebmath_score": 0.9171851873397827,
"tags": null,... |
geometric sequence questions and answers. Arithmetic and Geometric Sequences Practice Homework For each Sequence, Pattern, Table, or Story below identify whether it is Arithmetic or Geometric, find the common difference or common ratio, write an Explicit Formula, then use your formulas to find the given term. The value... | {
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"lm_q1q2_score": 0.8213032658134325,
"lm_q2_score": 0.839733963661418,
"openwebmath_perplexity": 681.0068812401423,
"openwebmath_score": 0.5177739858627319... |
python, object-oriented, python-3.x, web-scraping
def __init__(self):
self.session = requests.Session()
self.links = [self.start_url]
self.vault = []
def crawler(self):
for url in self.links:
self.get_app(url)
def get_app(self, url):
print("Scraping now "... | {
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"openwebmath_score": null,
"tags": "python, object-oriented, python-3.x, web-scraping",
"url": null
} |
java, optimization, design-patterns, tic-tac-toe, ai
|| (buttons[6].getText().equals("O") && buttons[7].getText().equals("O")))
&& buttons[8].getText().equals("")
){
buttons[8].setText("O");
buttons[8].setEnabled(false);
} else { | {
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "java, optimization, design-patterns, tic-tac-toe, ai",
"url": null
} |
image-processing, matlab, opencv, edge-detection
Since both the Gaussian Blur and Sobel filters are linear, passing a blurred input image to the OpenCV Canny() function is mathematically equivalent to what Matlab does because of the principle of superposition, as demonstrated in this pseudocode (note: * is the convolu... | {
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"tags": "image-processing, matlab, opencv, edge-detection",
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} |
c, game, curses
if (answer == 'y') {
big_message("%s has surrendered, %s wins.", PLAYER_TEXT(r->current_player), OTHER_PLAYER_TEXT(r->current_player));
runes_exit(EXIT_SUCCESS);
} else if (answer == 'n') {
big_message("%s has refused %s's offer of surrender, the game will continue.",
... | {
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"openwebmath_score": null,
"tags": "c, game, curses",
"url": null
} |
electromagnetism, waves, dielectric
where $\hat n = \hat z$, thus the first 2 equations don't tell me anything because $\vec D$ and $\vec B$ are orthogonal to $\hat n$. However the eqs. (3) and (4) give me the information:
(3') $\vec E_I + \vec E_R = \vec E_T$
(4') $\vec H_I + \vec H_R = \vec H_T$
and since $\vec H= \... | {
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"openwebmath_score": null,
"tags": "electromagnetism, waves, dielectric",
"url": null
} |
c++, game, c++11, proxy, mediator
inline void MonsterSummoningMediator::distributeAttackCommand() {
for (SummonedMonster* x : summonedMonsters)
x->receiveAttackCommand();
}
inline void MonsterSummoningMediator::distributeShieldMeCommand() {
for (SummonedMonster* x : summonedMonsters)
x->receiv... | {
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"tags": "c++, game, c++11, proxy, mediator",
"url": null
} |
image-processing
Title: Auto-focus estimation? What kind of analysis might be used on sets of 2D monochrome image matrices or bitmaps to estimate or compare their relative quality of being "in focus"? Is there an efficient way of computing a scalar metric on something like overall contrast, luminance sparsity, or oth... | {
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"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "image-processing",
"url": null
} |
slam, navigation, laser, turtlebot, gmapping
<origin
xyz="0 0 0"
rpy="0 0 0" />
<geometry>
<mesh
filename="package://jmbot1_description/meshes/Wheel_L.STL" />
</geometry>
</collision>
</link>
<joint
name="Wheel_L"
type="continuous">
<origin
xyz="-... | {
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"id": 23515,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "slam, navigation, laser, turtlebot, gmapping",
"url": null
} |
general-relativity, coordinate-systems, metric-tensor
$$\mathrm{d}s^2 = -\left(1-\frac{2M}{r}\right)\mathrm{d}t^2 + \frac{\mathrm{d}r^2}{1-\frac{2M}{r}} + r^2\left(\mathrm{d}\theta^2 + \sin^2\theta\,\mathrm{d}\phi^2\right)\text{.}$$
We can index the coordinates arbitrarily, but let's take them in the typical order: $(... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "general-relativity, coordinate-systems, metric-tensor",
"url": null
} |
ros, 2dcostmap
When using the static transform, there is no periodic transform published between the map and odom frames. I suspect that the local costmap plugin might rely on this transform (although I'm not certain), and when using the slam mapping node, the periodic transform between the odom and map frames may int... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros, 2dcostmap",
"url": null
} |
time, definition
Title: J2000 and J2000.0 difference? I've seen the standard epoch described as both J2000 and J2000.0. Is there any difference between the two designations? They're identical. See https://en.wikipedia.org/wiki/Epoch_(astronomy)#Julian_years_and_J2000 "J2000 = JD 2451545.0 (TT)" - PM 2Ring
They are the... | {
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "time, definition",
"url": null
} |
homework-and-exercises, fluid-dynamics, pressure, fluid-statics
Title: How does adding a mass change fluid flow rate? I have this exercise:
I haven't had any trouble solving the first two parts, but regarding the third one, I was wondering if my reasoning is correct. I would say that for the first case in which the o... | {
"domain": "physics.stackexchange",
"id": 40502,
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"lm_q2_score": null,
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"openwebmath_score": null,
"tags": "homework-and-exercises, fluid-dynamics, pressure, fluid-statics",
"url": null
} |
window, select the Analysis tab, choose phase portrait and push the Draw button. Phase Portraits and Eigenvectors 25. Phase Plane Plotter. (1) Example 1: Two particles are connected by a rigid rod so they are constrained to move a fixed distance apart. You can modify certain aspects of polar axes in order to make the ch... | {
"domain": "coopruah.it",
"id": null,
"lm_label": "1. YES\n2. YES",
"lm_name": "Qwen/Qwen-72B",
"lm_q1_score": 0.9869795102691454,
"lm_q1q2_score": 0.8224743009762946,
"lm_q2_score": 0.8333245953120233,
"openwebmath_perplexity": 998.8626031836937,
"openwebmath_score": 0.6888613104820251,
"tags": nu... |
java, caesar-cipher, vigenere-cipher
if(i % key.length() == 0){
key = CaesarCipher.encrypt(key,++hash);
Collections.shuffle(arr,rand);
}
if(arr.contains(Character.toUpperCase(s.charAt(i))) == false)
str.append(s.charAt(i));
else{
index1 = arr.indexOf(Character.toUpperCase(s.charAt(i)));
index2 = arr.indexOf(Ch... | {
"domain": "codereview.stackexchange",
"id": 20922,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "java, caesar-cipher, vigenere-cipher",
"url": null
} |
c++, beginner, object-oriented, http, client
std::string method;
std::string httpVer;
std::string host;
std::string fullHost;
std::string uri;
std::vector<std::string> headers;
std::string parsedHeaders;
std::string fullPath;
std::string fullRequest;
Not sure I like the interface to cr... | {
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"id": 17614,
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"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "c++, beginner, object-oriented, http, client",
"url": null
} |
file-system, bash
if [ "$result" = "$input" ]
then
clear
mv $DIR2 $DIR
else
clear
fi
else
:
fi
exit
}
opendir()
{
if [ -d "$DIR" ]
then
clear
mv $DIR $DIR2
elif [ -d "$DIR2" ]
then
echo -n ": "
... | {
"domain": "codereview.stackexchange",
"id": 15487,
"lm_label": null,
"lm_name": null,
"lm_q1_score": null,
"lm_q1q2_score": null,
"lm_q2_score": null,
"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "file-system, bash",
"url": null
} |
ros
Title: cannot launch node of type [arbotix_python/arbotix_driver]: arbotix_python
when i run :
roslaunch rbx2_bringup pi_robot_with_gripper.launch sim:=true
i have this error :
ERROR: cannot launch node of type [arbotix_python/arbotix_driver]: arbotix_python
ROS path [0]=/opt/ros/jade/share/ros
ROS path [1]=/ho... | {
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"openwebmath_perplexity": null,
"openwebmath_score": null,
"tags": "ros",
"url": null
} |
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